Re: Simplify the following:

But that was how it exists in the book and I tried to solve.Think the following is how it came by its answder.

Logy^2-log2x=log2y-log2x

(y^2/2x)= 2x(2y-2x).

y^2= 4xy-4x^2

y^2= 4xy-4x^2

y^-4xy+4x^2=0 I think could be factorised,

My question is, as there became a negative sign between log2y-log2x I think should be log(2y/2x). As the law says logx-logy=(x/y).But why only the law affected the left hand equation only I mean (y^2/2x) and not the right hand as well?Please assist.

Re: Simplify the following:

I know the book is right, but I can not figure out as to why it applied the law of division on the left equation only. I could see the right equation also has a negative sign between it and I think should belo2y/log2x so that it would also have a division sign as the left equation has. Then from there one can work it down.Bobbym, why do you think the division sign was denied on the right hand equation only?Or is only left hand equations that must assume it? And not right hand equations?

Re: Simplify the following:

Notice that your right hand side isn't the same as in the original problem from post #194.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: Simplify the following:

Anonynmstify, if I am getting you right I think youre right, but then when you work it down you would arrive on the division sign, watch:

2logy-log2x=log2(y-x).

logy^2 - log2x = log2y-2x. Now, there come a negative sign at the right equation. I am thinking that, since there is a negative sign in both the right and the left equation, both sides must have that division sign respectively. But to my suprise only the left equation had the division sign. Still I am not clear.Bobym let me know why +4.

Re: Simplify the following:

p=1000.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: Simplify the following:

See, I am taking aback as to why the answer is 1000.Because I have learnt that any number raised to power either 1/3, 1/2, 1/4. is demanding the third the square and the fourth root of that number. I see it that if the answer is 1000 in the above problem then the question should have been:

Re: Simplify the following:

Have you sorted out the x and y problem?

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.

Re: Simplify the following:

EbenezerSon wrote:

If 2logy-log2x=2log(y-x), express y in terms of x. I had (y-x)(y-2x^2). The book has y^-4xy+4^2x=0.

Here lies the reader who will never open this book. He is forever dead.Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and PunishmentThe knowledge of some things as a function of age is a delta function.